News - October 2010

October 29, 2010

10^7197+1: 1176942435515404703957689.
10^7376+1: 5491123068444536129.
10^7487+1: 94691446905424441.
10^7579+1: 1610492986164319973.
10^7615+1: 917743912603852555651.
10^7899+1: 1509802108933661855281.
10^8072+1: 80345702972914735097233.
10^8293+1: 22290933742862294761.
10^8949+1: 6829235943138121.
10^9785+1: 18910377042970211.
10^9884+1: 302691038809433.
10^10182+1: 14413394403780118298401.
10^10278+1: 405079789650436883161.
10^10618+1: 759009741302941.



October 29, 2010

2010^85-1: 9478483161498838299495665961765630821. The cofactor (132 digits) is probably prime.



October 25, 2010

p-1:
10^7002+1: 25418117865051413216461.
10^7059+1: 19403875897022484845641.
10^7074+1: 336290276866129192834021.

p+1:
10^7126+1: 5442279402932433912382309.

ecm (sigma=2e9):
10^7462+1: 1104543434341827808852889.
10^7600+1: 211509463544791377601.
10^7682+1: 10065554525803214869729.
10^8131+1: 79183430667597023.
10^8329+1: 20134907245402852703.
10^8332+1: 1901636837181907513.
10^8342+1: 4728587901861203269.
10^8441+1: 33377295745155876281.
10^8480+1: 261441377122851841.
10^8598+1: 1118814135262861381.
10^8817+1: 66318467969691143887.
10^8837+1: 46993020083754352536449.
10^8911+1: 17385295819973663.
10^9000+1: 1319954216085857196001.
10^9035+1: 587495901467411.
10^9197+1: 147074528729475241.
10^9219+1: 260819912852384299.
10^9227+1: 7353588904229183171.
10^9237+1: 16260202639938379.
10^9296+1: 30795478320925249.
10^9333+1: 18446027800071621583.
10^9386+1: 520165855731038401.
10^9405+1: 722006751035527651.
10^9581+1: 26485996558135973.
10^9600+1: 363323163253785601.
10^9767+1: 326396915333077.
10^9772+1: 88006653308666849.
10^9815+1: 9561450461275961.
10^9838+1: 4665555906080664809.
10^10047+1: 976808552191012543. The cofactor (6208 digits) is probably prime.
10^10098+1: 3152104337774468612114569.
10^10257+1: 1277481839387340303289.
10^10541+1: 3403217147328397249.
10^10597+1: 26802896570422903219.
10^10719+1: 227294134224410521.
10^10803+1: 3077156962670521849.
10^10883+1: 2614259389589983.
10^10898+1: 11262398642718589.
10^10977+1: 374131501011467066521.
10^11129+1: 335110827820560797567.
10^11366+1: 105208503113171609.
10^11418+1: 957944756060954472361.
10^11430M+1: 542291467562835923482021.
10^11631+1: 28743985396031999226253.
10^11644+1: 253340718523880929.
10^11682+1: 83434147816735189.
10^11852+1: 163936826117689441.
10^11873+1: 4952511127849063.
10^11886+1: 13447224507870301.
10^11899+1: 781709947152851.
10^11931+1: 6392766266921267449.
10^11968+1: 2490285587262518884609.
10^11976+1: 268366903105339201.


Alfred Reich